1. Lesson 5

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Lesson 5: Laws of Logarithms

 

Focus

 

This is a photo of a woman listening to music while wearing headphones.

© Samuel Borges/31276114/Fotolia

Most people can hear a wide range of sound levels. As the intensity of a sound increases, you perceive the sound as getting louder. It is possible to determine “how many times as loud” one sound is compared to another using the equation S = 10 log I1 − 10 log I0, where I1 and I0 are the two sound intensities. In this lesson you will learn to simplify logarithmic expressions such as this one.

 

Lesson Outcome

 

At the end of this lesson you will be able to use the laws of logarithms to manipulate expressions.

 

Lesson Question

 

You will investigate the following question: How can the laws of logarithms be used to manipulate expressions?

 

Assessment

 

Your assessment may be based on a combination of the following tasks:

  • completion of the Lesson 5 Assignment (Download the Lesson 5 Assignment and save it in your course folder now.)
  • course folder submissions from Try This and Share activities
  • additions to Formula Sheet
  • work under Project Connection